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Quantum Entanglement-Based Differential Privacy

Jincheng Zhang

Published Sep 5, 2026• 0 citations
Publisher

Abstract

This paper explores a novel approach to differential privacy utilizing quantum entanglement. Traditional differential privacy relies on adding noise to queries to obscure individual data contributions, a technique often limited by the dimensionality of the data and the potential for sophisticated attacks. We propose encoding data points into entangled qubit states, thereby leveraging the inherent correlations provided by entanglement to achieve stronger privacy guarantees. The core idea involves performing computations on these entangled states, minimizing the need for direct data exposure. Crucially, we introduce a mechanism for carefully calibrating measurement noise, exploiting the unique properties of entanglement to control the privacy loss. Our framework demonstrates the potential to significantly improve privacy levels compared to classical methods, especially when dealing with high-dimensional datasets, offering a new paradigm for privacy-preserving data analysis in the quantum realm. The theoretical analysis presents a novel framework for quantifying privacy loss, considering both the entanglement resource requirements and the calibrated noise levels. This work lays the foundation for future research into quantum-enhanced differential privacy and its implications for secure data processing.

DOI
10.5281/zenodo.22335186

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IEEE Transactions on Information Theory•Mar 18, 2025•3 citations
This paper explores a novel approach to differential privacy utilizing quantum entanglement. Traditional differential privacy relies on adding noise to queries to obscure individual data contributions, a technique often limited by the dimensionality of the data and the potential for sophisticated attacks. We propose encoding data points into entangled qubit states, thereby leveraging the inherent correlations provided by entanglement to achieve stronger privacy guarantees. The core idea involves performing computations on these entangled states, minimizing the need for direct data exposure. Crucially, we introduce a mechanism for carefully calibrating measurement noise, exploiting the unique properties of entanglement to control the privacy loss. Our framework demonstrates the potential to significantly improve privacy levels compared to classical methods, especially when dealing with high-dimensional datasets, offering a new paradigm for privacy-preserving data analysis in the quantum realm. The theoretical analysis presents a novel framework for quantifying privacy loss, considering both the entanglement resource requirements and the calibrated noise levels. This work lays the foundation for future research into quantum-enhanced differential privacy and its implications for secure data processing.
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This paper presents a novel approach to achieving secure differential privacy utilizing the unique properties of quantum entanglement. We propose a quantum key distribution (QKD) protocol where the inherent noise within the entangled state itself serves as a mechanism for guaranteeing differential privacy. Unlike traditional cryptographic methods that rely on computational assumptions, our approach leverages the fundamental randomness of quantum mechanics. The core idea is that the statistical fluctuations observed in the measurement of entangled pairs provide a natural perturbation, effectively masking individual data points while preserving the overall statistical properties of the dataset. The protocol is designed to be provably secure, offering a stronger security guarantee than classical differential privacy techniques. We formalize this approach with mathematical equations, outlining the key components and their impact on privacy. The research contributes a new paradigm for privacy preservation, potentially offering a path towards highly secure and robust data analysis in the quantum era.
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Differential privacy provides a robust framework for protecting sensitive data, while maintaining its utility for computation. In essence, a differentially private algorithm takes as input the data of multiple parties, and returns an output disclosing minimal information about any individual party. Previous research has introduced several quantum extensions of differential privacy, with applications ranging from quantum machine learning on private classical data to quantum shadow tomography. However, the local model of quantum differential privacy – where each party is responsible for privatizing their own data at a local level – has received limited attention. This work delves into locally differentially private quantum measurements. Although any measurement can be made locally differentially private by adding noise to the outcome, we demonstrate that certain quantum measurements inherently satisfy some degree of local differential privacy for specific classes of input states. This finding has two significant implications: first, limiting the analysis to classical noise injection mechanisms may lead to suboptimal privacy-utility trade-offs for quantum data; second, the theory of differential privacy can be harnessed to further investigate the capabilities of quantum measurements. Motivated by these insights, we establish strong data processing inequalities for the quantum relative entropy under local differential privacy and apply these results to asymmetric hypothesis testing of quantum states with restricted measurements. Additionally, we prove an equivalence between quantum statistical queries and quantum differential privacy in the local model, thereby addressing an open question posed by Arunachalam et al. (2021). Finally, we consider the task of quantum multi-party computation under local differential privacy, demonstrating that parity functions can be efficiently learned in this model, whereas the corresponding classical task requires exponentially many samples.